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Free keywords:
Mathematics, Algebraic Topology, Combinatorics
Abstract:
We provide a new combinatorial approach to studying the collection of
N-infinity-operads in G-equivariant homotopy theory for G a finite cyclic
group. In particular, we show that for G the cyclic group of order p^n the
natural order on the collection of N-infinity-operads stands in bijection with
the poset structure of the (n+1)-associahedron. We further provide a lower
bound for the number of possible N-infinity-operads for any finite cyclic group
G.
